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3 years ago

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Mathematics

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Ivenika [448]3 years ago

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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

Explanation:

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

7 0

3 years ago

What means the same as 6 × 5? A.6^5 B.5 + 5 + 5 + 5 + 5 C.6 + 6 + 6 + 6 + 6

skelet666 [1.2K]

Here is your answer:

In order to find your answer we will have to solve each option separately to see which one equals 6 × 5.

$6^5 = 6\times6\times6\times6\times 6$ <---- Not the answer
$5 + 5 + 5 + 5 + 5 = 25$ <----- Not the answer
$6 + 6 + 6 + 6 + 6 = 35$ <---- Your answer

Therefore your answer is option C "6 + 6 + 6 + 6 + 6 ."

Hope this helps!

8 0

3 years ago

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Which is an expression to find the speed in m/s?

kenny6666 [7]

C. 100/20
This is because the formula to finding speed is distance divided by time.

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The angle of elovation from the bottom of a hill to the top is 15. The top of the hill is 200 m above ground level. a)How far to

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Check the picture below.

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mandy drew a scale drawing of a hotel the scale of the drawing was 9 inches : 4 feet a room in the hotel is 36 inches long in th

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Answer:

SUBTRACT DUH EASY

Step-by-step explanation:

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